Answer
a. $15x-18$
b. $15x+2$
c. $12$
d. $32$
Work Step by Step
Given $f(x)=5x+2$ and $g(x)=3x-4$, we have:
a. $(f\circ g)(x)=5(3x-4)+2=15x-18$
b. $(g\circ f)(x)=3(5x+2)-4=15x+2$
c. $(f\circ g)(2)=15(2)-18=12$
d. $(g\circ f)(2)=15(2)+2=32$